211345800 has 96 divisors (see below), whose sum is σ = 659496480. Its totient is φ = 55987200.

The previous prime is 211345763. The next prime is 211345807. The reversal of 211345800 is 8543112.

211345800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (211345807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96720 + ... + 98880.

It is an arithmetic number, because the mean of its divisors is an integer number (6869755).

Almost surely, 2^211345800 is an apocalyptic number.

211345800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211345800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329748240).

211345800 is an abundant number, since it is smaller than the sum of its proper divisors (448150680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211345800 is a wasteful number, since it uses less digits than its factorization.

211345800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 211345800 is about 14537.7371003881. The cubic root of 211345800 is about 595.6592274432.

Adding to 211345800 its reverse (8543112), we get a palindrome (219888912).

The spelling of 211345800 in words is "two hundred eleven million, three hundred forty-five thousand, eight hundred".